Currently, you can access the site through https: but that is not the default and it is not enforced. We might consider making an option to force the site to https:
Renaming the home page. Something I'm thinking about. Actually was thinking of removing the "home" part of the tree and just making the first real page the home page by default.
Image linking. I'll put that in a recommendation.
Embedding Stuff. This is in our plans already. We have a really cool implementation idea for this. :)
Sunny